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TRS_Relative 2019-03-21 03.54 pair #429988618
details
property
value
status
complete
benchmark
#3.8b_rand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n133.star.cs.uiowa.edu
space
INVY_15
run statistics
property
value
solver
NaTT
configuration
Default
runtime (wallclock)
0.235767 seconds
cpu usage
0.098433
user time
0.062562
system time
0.035871
max virtual memory
113176.0
max residence set size
5760.0
stage attributes
key
value
starexec-result
YES
output
0.00/0.23 YES 0.00/0.23 Input TRS: 0.00/0.23 1: le(0(),y) -> true() 0.00/0.23 2: le(s(x),0()) -> false() 0.00/0.23 3: le(s(x),s(y)) -> le(x,y) 0.00/0.23 4: minus(0(),y) -> 0() 0.00/0.23 5: minus(s(x),y) -> if_minus(le(s(x),y),s(x),y) 0.00/0.23 6: if_minus(true(),s(x),y) -> 0() 0.00/0.23 7: if_minus(false(),s(x),y) -> s(minus(x,y)) 0.00/0.23 8: quot(0(),s(y)) -> 0() 0.00/0.23 9: quot(s(x),s(y)) -> s(quot(minus(x,y),s(y))) 0.00/0.23 10: log(s(0())) -> 0() 0.00/0.23 11: log(s(s(x))) -> s(log(s(quot(x,s(s(0())))))) 0.00/0.23 12: rand(x) ->= x 0.00/0.23 13: rand(x) ->= rand(s(x)) 0.00/0.23 Number of strict rules: 11 0.00/0.23 Direct POLO(bPol) ... failed. 0.00/0.23 Uncurrying log le 0.00/0.23 1: le^1_0(y) -> true() 0.00/0.23 2: le^1_s(x,0()) -> false() 0.00/0.23 3: le^1_s(x,s(y)) -> le(x,y) 0.00/0.23 4: minus(0(),y) -> 0() 0.00/0.23 5: minus(s(x),y) -> if_minus(le^1_s(x,y),s(x),y) 0.00/0.23 6: if_minus(true(),s(x),y) -> 0() 0.00/0.23 7: if_minus(false(),s(x),y) -> s(minus(x,y)) 0.00/0.23 8: quot(0(),s(y)) -> 0() 0.00/0.23 9: quot(s(x),s(y)) -> s(quot(minus(x,y),s(y))) 0.00/0.23 10: log^1_s(0()) -> 0() 0.00/0.23 11: log^1_s(s(x)) -> s(log^1_s(quot(x,s(s(0()))))) 0.00/0.23 12: rand(x) ->= x 0.00/0.23 13: rand(x) ->= rand(s(x)) 0.00/0.23 14: le(0(),_1) ->= le^1_0(_1) 0.00/0.23 15: le(s(_1),_2) ->= le^1_s(_1,_2) 0.00/0.23 16: log(s(_1)) ->= log^1_s(_1) 0.00/0.23 Number of strict rules: 11 0.00/0.23 Direct POLO(bPol) ... failed. 0.00/0.23 Dependency Pairs: 0.00/0.23 #1: #quot(s(x),s(y)) -> #quot(minus(x,y),s(y)) 0.00/0.23 #2: #quot(s(x),s(y)) -> #minus(x,y) 0.00/0.23 #3: #log^1_s(s(x)) -> #log^1_s(quot(x,s(s(0())))) 0.00/0.23 #4: #log^1_s(s(x)) -> #quot(x,s(s(0()))) 0.00/0.23 #5: #le(0(),_1) ->? #le^1_0(_1) 0.00/0.23 #6: #if_minus(false(),s(x),y) -> #minus(x,y) 0.00/0.23 #7: #minus(s(x),y) -> #if_minus(le^1_s(x,y),s(x),y) 0.00/0.23 #8: #minus(s(x),y) -> #le^1_s(x,y) 0.00/0.23 #9: #log(s(_1)) ->? #log^1_s(_1) 0.00/0.23 #10: #le^1_s(x,s(y)) -> #le(x,y) 0.00/0.23 #11: #le(s(_1),_2) ->? #le^1_s(_1,_2) 0.00/0.23 Number of SCCs: 4, DPs: 6 0.00/0.23 SCC { #3 } 0.00/0.23 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded. 0.00/0.23 #le^1_s s: [1,2] p: 0 w: max(x1 + 1, x2 + 1) 0.00/0.23 le s: [] p: 2 w: max(x2) 0.00/0.23 le^1_s s: [] p: 2 w: max(x2) 0.00/0.23 s s: [1] p: 3 w: x1 0.00/0.23 #le s: [] p: 0 w: max(x2) 0.00/0.23 #le^1_0 s: [] p: 0 w: 0 0.00/0.23 minus s: 1 0.00/0.23 false s: [] p: 1 w: 0 0.00/0.23 #log^1_s s: [1] p: 0 w: x1 0.00/0.23 #log s: [] p: 0 w: 1 0.00/0.23 true s: [] p: 1 w: 0 0.00/0.23 rand s: [] p: 0 w: x1 + 1 0.00/0.23 log s: [1] p: 4 w: x1 + 2 0.00/0.23 0 s: [] p: 1 w: 0 0.00/0.23 quot s: 1 0.00/0.23 #if_minus s: [1,2,3] p: 0 w: max(x1, x2 + 1, x3 + 1) 0.00/0.23 #minus s: [] p: 0 w: max(x2 + 1) 0.00/0.23 le^1_0 s: [] p: 2 w: 0 0.00/0.23 if_minus s: 2 0.00/0.23 #quot s: [] p: 0 w: max(x1) 0.00/0.23 log^1_s s: [1] p: 4 w: x1 + 1 0.00/0.23 Removed DPs: #3 0.00/0.23 Number of SCCs: 3, DPs: 5 0.00/0.23 SCC { #1 } 0.00/0.23 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded. 0.00/0.23 #le^1_s s: [1,2] p: 0 w: max(x1 + 1, x2 + 1) 0.00/0.23 le s: [] p: 2 w: max(x2) 0.00/0.23 le^1_s s: [] p: 2 w: max(x2) 0.00/0.23 s s: [1] p: 3 w: x1 0.00/0.23 #le s: [] p: 0 w: max(x2) 0.00/0.23 #le^1_0 s: [] p: 0 w: 0 0.00/0.23 minus s: 1 0.00/0.23 false s: [] p: 1 w: 0 0.00/0.23 #log^1_s s: [1] p: 0 w: x1 0.00/0.23 #log s: [] p: 0 w: 1 0.00/0.23 true s: [] p: 1 w: 0 0.00/0.23 rand s: [] p: 0 w: x1 + 1 0.00/0.23 log s: [1] p: 4 w: x1 + 2 0.00/0.23 0 s: [] p: 1 w: 0 0.00/0.23 quot s: 1 0.00/0.23 #if_minus s: [1,2,3] p: 0 w: max(x1, x2 + 1, x3 + 1) 0.00/0.23 #minus s: [] p: 0 w: max(x2 + 1) 0.00/0.23 le^1_0 s: [] p: 2 w: 0 0.00/0.23 if_minus s: 2 0.00/0.23 #quot s: [2,1] p: 4 w: max(x1 + 2, x2 + 1) 0.00/0.23 log^1_s s: [1] p: 4 w: x1 + 1 0.00/0.23 Removed DPs: #1 0.00/0.23 Number of SCCs: 2, DPs: 4 0.00/0.23 SCC { #10 #11 }
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